This book deals with the inverse problem of identification of dynamic loads and its applications for low frequency structural health monitoring (SHM). It collects and unifies the work performed by the author within the framework of three research projects either alone or together with the three Ph.D. students under his supervision or co-supervision. In particular: - The inverse linear problem of load identification is discussed in the practically important case of limited instrumentation. Various techniques for augmenting the missing information are described together with three complementary quantitative measures of optimum sensor placement. - A method for identification of dynamic loads in elastoplastic structures is developed, including sensitivity analysis of the response and gradient-based optimization. - The general methodology of the virtual distortion method (VDM) is used to represent various SHM problems in terms of a load identification problem. This includes - A methodology for virtual isolation of substructures for the purpose of local SHM. - A model-free (nonparametric and based on purely experimental data) methodology for identification of structural damages, modifications and inelastic impacts. - A unified approach to the problem of simultaneous identification of unknown excitations and structural damages. All presented approaches are tested and illustrated in numerical examples that use a realistic numerical noise level of at least 5% rms. Depending on laboratory constraints, experimental verification is performed in selected cases.
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